+612 9045 4394
 
CHECKOUT
Many Particle Physics : Physics of Solids and Liquids - Gerald D. Mahan

Many Particle Physics

Physics of Solids and Liquids

Hardcover Published: October 2000
ISBN: 9780306463389
Number Of Pages: 785

Share This Book:

Hardcover

$304.80
or 4 easy payments of $76.20 with Learn more
Ships in 15 business days

Earn 610 Qantas Points
on this Book

This comprehensive textbook utilizes Green's functions and the equations derived from them to solve real physical problems in solid-state theoretical physics. Green's functions are used to describe processes in solids and quantum fluids and to address problems in areas such as electron gas, polarons, electron transport, optical response, superconductivity and superfluidity. The updated third edition features several new chapters on different mean-free paths, Hubbard model, Coulomb blockade, and the quantum Hall effect. New sections have been added, while original sections have been modified to include recent applications. This text is ideal for third- or fourth-year graduate students and includes numerous study problems and an extensive bibliography.

Industry Reviews

About the First Edition:
`This is a worthy newcomer and will make an excellent teaching text.'
Physics Bulletin
`The book should serve as a valuable contribution to the library of students and researchers in solid state and theoretical physics.'
Philosophical Magazine

About the Second Edition:
`Since its first edition, this book has become one of the most popular textbooks in quantum many-body theory, thus guaranteeing the interest of the scientific community in this second edition.'
Mathematical Reviews

Introductory Materialp. 1
Harmonic Oscillators and Phononsp. 1
Second Quantization for Particlesp. 11
Electron-Phonon Interactionsp. 26
Interaction Hamiltonianp. 27
Localized Electronp. 29
Deformation Potentialp. 31
Piezoelectric Interactionp. 32
Polar Couplingp. 34
Spin Hamiltoniansp. 36
Homogeneous Spin Systemsp. 38
Impurity Spin Modelsp. 43
Photonsp. 48
Gaugesp. 49
Lagrangianp. 53
Hamiltonianp. 55
Pair Distribution Functionp. 58
Problemsp. 62
Green's Functions at Zero Temperaturep. 65
Interaction Representationp. 66
Schrodingerp. 66
Heisenbergp. 66
Interactionp. 67
S Matrixp. 70
Green's Functionsp. 71
Wick's Theoremp. 76
Feynman Diagramsp. 81
Vacuum Polarization Graphsp. 83
Dyson's Equationp. 86
Rules for Constructing Diagramsp. 90
Time-Loop S Matrixp. 95
Six Green's Functionsp. 96
Dyson's Equationp. 99
Photon Green's Functionsp. 102
Problemsp. 106
Nonzero Temperaturesp. 109
Introductionp. 109
Matsubara Green's Functionsp. 112
Retarded and Advanced Green's Functionsp. 118
Dyson's Equationp. 128
Frequency Summationsp. 136
Linked Cluster Expansionsp. 142
Thermodynamic Potentialp. 142
Green's Functionsp. 152
Real-Time Green's Functionsp. 154
Wigner Distribution Functionp. 157
Kubo Formula for Electrical Conductivityp. 160
Transverse Fields, Zero Temperaturep. 163
Nonzero Temperaturesp. 168
Zero Frequencyp. 170
Photon Self-Energyp. 173
Other Kubo Formulasp. 174
Pauli Paramagnetic Susceptibilityp. 174
Thermal Currents and Onsager Relationsp. 177
Correlation Functionsp. 181
Problemsp. 183
Exactly Solvable Modelsp. 187
Potential Scatteringp. 187
Reaction Matrixp. 189
T Matrixp. 192
Friedel's Theoremp. 195
Impurity Scatteringp. 199
Ground State Energyp. 204
Localized State in the Continuump. 207
Independent Boson Modelsp. 218
Solution by Canonical Transformationp. 218
Feynman Disentangling of Operatorsp. 221
Einstein Modelp. 224
Optical Absorption and Emissionp. 228
Sudden Switchingp. 236
Linked Cluster Expansionp. 241
Bethe Latticep. 247
Electron Green's Functionp. 247
Ising Modelp. 251
Tomonaga Modelp. 256
Tomonaga Modelp. 257
Spin Wavesp. 262
Luttinger Modelp. 264
Single-Particle Propertiesp. 267
Interacting System of Spinless Fermionsp. 272
Polaritonsp. 276
Semiclassical Discussionp. 276
Phonon-Photon Couplingp. 278
Exciton-Photon Couplingp. 282
Problemsp. 291
Homogeneous Electron Gasp. 295
Exchange and Correlationp. 295
Kinetic Energyp. 297
Hartreep. 297
Exchangep. 297
Seitz's Theoremp. 301
[Sigma superscript (2a)]p. 303
[Sigma superscript (2b)]p. 304
[Sigma superscript (2c)]p. 305
High-Density Limitp. 306
Pair Distribution Functionp. 308
Wigner Latticep. 311
Metallic Hydrogenp. 315
Linear Screeningp. 316
Model Dielectric Functionsp. 323
Thomas-Fermip. 323
Lindhard, or RPAp. 325
Hubbardp. 336
Singwi-Sjolanderp. 338
Local Field Correctionsp. 341
Vertex Correctionsp. 343
Properties of the Electron Gasp. 346
Pair Distribution Functionp. 346
Screening Chargep. 346
Correlation Energiesp. 347
Compressibilityp. 352
Pauli Paramagnetic Susceptibilityp. 356
Sum Rulesp. 358
One-Electron Propertiesp. 362
Renormalization Constant Z[subscript F]p. 365
Effective Massp. 368
Mean-Free-Pathp. 369
Problemsp. 372
Strong Correlationsp. 375
Kondo Modelp. 375
High-Temperature Scatteringp. 376
Low-Temperature Statep. 383
Kondo Temperaturep. 387
Kondo Resonancep. 387
Single-Site Anderson Modelp. 389
No Hybridizationp. 391
With Hybridizationp. 395
Self-Energy of Electronsp. 396
Hubbard Modelp. 403
Spin and Charge Separationp. 404
Exchange Graphsp. 409
Hubbard Model: Magnetic Phasesp. 411
Ferromagnetismp. 413
Antiferromagnetismp. 416
An Examplep. 422
Local Field Correctionsp. 427
Problemsp. 430
Electron-Phonon Interactionp. 433
Frohlich Hamiltonianp. 433
Brillouin-Wigner Perturbation Theoryp. 434
Rayleigh-Schrodinger Perturbation Theoryp. 438
Strong Coupling Theoryp. 444
Linked Cluster Theoryp. 448
Small Polaron Theoryp. 454
Large Polaronsp. 455
Small Polaronsp. 456
Diagonal Transitionsp. 458
Nondiagonal Transitionsp. 459
Kubo Formulap. 463
Heavily Doped Semiconductorsp. 467
Screened Interactionp. 468
Experimental Verificationsp. 474
Electron Self-Energiesp. 475
Metalsp. 481
Phonons in Metalsp. 482
Electron Self-Energiesp. 487
Problemsp. 495
dc Conductivitiesp. 499
Electron Scattering by Impuritiesp. 499
Boltzmann Equationp. 499
Kubo Formula: Approximate Solutionp. 505
Ward Identitiesp. 514
Mobility of Frohlich Polaronsp. 517
Electron-Phonon Relaxation Timesp. 524
Metalsp. 526
Semiconductorsp. 527
Temperature Relaxationp. 531
Electron-Phonon Interactions in Metalsp. 534
Force-Force Correlation Functionp. 534
Kubo Formulap. 537
Mass Enhancementp. 545
Thermoelectric Powerp. 545
Quantum Boltzmann Equationp. 549
Derivation of the QBEp. 550
Gradient Expansionp. 554
Electron Scattering by Impuritiesp. 557
Quantum Dot Tunnelingp. 561
Electron Tunnelingp. 561
Quantum Dotsp. 567
Rate Equationsp. 571
Quantum Conductancep. 575
Problemsp. 576
Optical Properties of Solidsp. 579
Nearly Free-Electron Systemsp. 579
General Propertiesp. 579
Force-Force Correlation Functionsp. 581
Frohlich Polaronsp. 585
Interband Transitionsp. 588
Phononsp. 590
Wannier Excitonsp. 592
The Modelp. 592
Solution by Green's Functionsp. 596
Core-Level Spectrap. 600
X-ray Spectra in Metalsp. 603
Physical Modelp. 603
Edge Singularitiesp. 607
Orthogonality Catastrophep. 612
MND Theoryp. 621
XPS Spectrap. 624
Problemsp. 626
Superconductivityp. 627
Cooper Instabilityp. 628
BCS Theoryp. 635
Superconducting Tunnelingp. 644
Normal-Superconductorp. 645
Two Superconductorsp. 648
Josephson Tunnelingp. 652
Infrared Absorptionp. 660
Strong Coupling Theoryp. 664
Transition Temperaturep. 670
Problemsp. 674
Superfluidsp. 677
Liquid [superscript 4]Hep. 677
Hartree and Exchangep. 679
Bogoliubov Theory of [superscript 4]Hep. 682
Off-Diagonal Long-Range Orderp. 686
Correlated Basis Functionsp. 690
Experiments on n[subscript k]p. 697
Bijl-Feynman Theoryp. 702
Improved Excitation Spectrap. 707
Superfluidityp. 710
Liquid [superscript 3]Hep. 713
Fermi Liquid Theoryp. 714
Experiments and Microscopic Theoriesp. 720
Interaction Between Quasiparticles: Excitationsp. 723
Quasiparticle Transportp. 729
Superfluid [superscript 3]Hep. 735
Quantum Hall Effectsp. 742
Landau Levelsp. 742
Classical Hall Effectp. 745
Quantum Hall Effectp. 747
Fixed Densityp. 749
Fixed Chemical Potentialp. 749
Impurity Dominatedp. 750
Laughlin Wave Functionp. 752
Collective Excitationsp. 757
Magnetorotonsp. 757
Quasiholesp. 760
Problemsp. 761
Referencesp. 765
Author Indexp. 777
Subject Indexp. 781
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780306463389
ISBN-10: 0306463385
Series: Physics of Solids and Liquids
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 785
Published: October 2000
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 26.11 x 17.73  x 4.55
Weight (kg): 1.53
Edition Number: 3
Edition Type: Revised

Earn 610 Qantas Points
on this Book